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12 results for “quaternions”
Lipschitz quaternions in the range [−10, 10]^4, which induce bijective 3D digitized rotations
<p>The file contains Lipschitz quaternions in the range [−10, 10]^4, such that they induce bijective 3D digitized rotations. It is a comma-separated values file format such that each line contains a different quaternion. This is an updated version which contains 576 more quaternions with respect to the previous version. These 576 quaternions where previously certified as ones which do not lead to bijective digitized rotations due to a bug in the used implementation of the algorithm described in:</p> <p>Pluta K., Romon P., Kenmochi Y., Passat N. (2016) Bijectivity Certification of 3D Digitized Rotations. In: Bac A., Mari JL. (eds) Computational Topology in Image Context. CTIC 2016. Lecture Notes in Computer Science, vol 9667. Springer, pp 30-41, doi:10.1007/978-3-319-39441-1_4</p> <p> </p> <p><strong>Acknowledgements:</strong><br> Special thanks for Victor Ostromoukhov and David Cœurjolly of University of Lyon 1, LIRIS, France, for finding the bug.</p>
Lipschitz quaternions in the range [−10, 10]^4, which do not induce bijective 3D digitized rotations
<p>The file contains Lipschitz quaternions in the range [−10, 10]^4, such that they do not induce bijective 3D digitized rotations. For a list of the Lipschitz quaternions from the range which do induce bijective 3D digitized rotations, please, see : https://doi.org/10.5281/zenodo.814552 </p> <p>It is a comma-separated values file format such that each line contains a different quaternion. The quaternions were certified by the algorithm described in:</p> <p>Pluta K., Romon P., Kenmochi Y., Passat N. (2016) Bijectivity Certification of 3D Digitized Rotations. In: Bac A., Mari JL. (eds) Computational Topology in Image Context. CTIC 2016. Lecture Notes in Computer Science, vol 9667. Springer, pp 30-41, doi:10.1007/978-3-319-39441-1_4</p>
Passivity-Based Control for a Micro Air Vehicle using Unit Quaternions
<p>In this paper the development and practical implementation of a Passivity-Based<br> Control (PBC) algorithm to stabilize an Unmanned Aerial Vehicle (UAV) described with unit<br> quaternions are presented. First, a mathematical model based on Euler-Lagrange formulation<br> using a logarithmic mapping in the quaternion space is introduced. Then, a new methodology:<br> a quaternion-passivity-based control is derived, which does not compute excessive and complex Partial Differential Equations (PDEs) for synthesizing the control law, making a significant advantage in comparison with other methodologies. Therefore, the control design to a system as the quad-rotor is easily solved by the proposed methodology. Another advantage is the possibility to stabilize quad-rotor full dynamics which may not be possible with classical PBC techniques. Experimental results and numerical simulations to validate our proposed scheme are presented.</p>
Quaternions for rotations in paleomagnetism
<p>Data for Figure 5 of "Quaternions for rotations in paleomagnetism"</p>
Ground-Based Doppler Orbitography by Radiopositioning Integrated on Satellite (DORIS) Quaternions products from NASA CDDIS
Satellite attitude information from satellites with Doppler Orbitography by Radiopositioning Integrated on Satellite (DORIS) receivers. Files include attitude quaternions for the body of the spacecraft and solar panel angular positions.
Ground-Based GNSS-based Upper Atmospheric Realtime Disaster Information and Alert Network (GUARDIAN) GPS daily accumulated real-time Precise Orbit Determination (POD) Attitude Quaternions (30-second sampling, 24-hour files) from NASA CDDIS
This product contains a time series of attitude quaternion components for healthy satellites in the GPS constellation that are accumulated every minute throughout the day. The product is generated at JPL's Global Differential GPS Operations Centers in real-time. The data in this product can be concatenated with other daily products to provide larger coverage in time.
Ground-Based GNSS-based Upper Atmospheric Realtime Disaster Information and Alert Network (GUARDIAN) Galileo daily accumulated real-time Precise Orbit Determination (POD) Attitude Quaternions (30-second sampling, 24-hour files) from NASA CDDIS
This product contains a time series of attitude quaternion components for healthy satellites in the Galileo constellation that are accumulated every minute throughout the day. The product is generated at JPL's Global Differential GPS Operations Centers in real-time. The data in this product can be concatenated with other daily products to provide larger coverage in time.
Ground-Based GNSS-based Upper Atmospheric Realtime Disaster Information and Alert Network (GUARDIAN) GLONASS daily accumulated real-time Precise Orbit Determination (POD) Attitude Quaternions (30-second sampling, 24-hour files) from NASA CDDIS
This product contains a time series of attitude quaternion components for healthy satellites in the GLONASS constellation that are accumulated every minute throughout the day. The product is generated at JPL's Global Differential GPS Operations Centers in real-time. The data in this product can be concatenated with other daily products to provide larger coverage in time.
Ground-Based Global Navigation Satellite System (GNSS) GLONASS real-time POD Attitude Quaternions (30-second sampling, 60-second files) from NASA CDDIS
This product contains a time series of attitude quaternion components for healthy satellites in the GLONASS constellation that are accumulated every minute throughout the day. The product is generated at JPL's Global Differential GPS Operations Centers in real-time. The data in this product can be concatenated with other daily products to provide larger coverage in time.
Ground-Based Global Navigation Satellite System (GNSS) Galileo real-time POD Attitude Quaternions (30-second sampling, 60-second files) from NASA CDDIS
This product contains a time series of attitude quaternion components for healthy satellites in the Galileo constellation that are accumulated every minute throughout the day. The product is generated at JPL's Global Differential GPS Operations Centers in real-time. The data in this product can be concatenated with other daily products to provide larger coverage in time.
Ground-Based Global Navigation Satellite System (GNSS) GPS real-time POD Attitude Quaternions (30-second sampling, 60-second files) from NASA CDDIS
This product contains a time series of attitude quaternion components for healthy satellites in the GPS constellation that are accumulated every minute throughout the day. The product is generated at JPL's Global Differential GPS Operations Centers in real-time. The data in this product can be concatenated with other daily products to provide larger coverage in time.
CDDIS_DORIS_products_quaternions
Satellite attitude information from satellites with Doppler Orbitography by Radiopositioning Integrated on Satellite (DORIS) receivers. Files include attitude quaternions for the body of the spacecraft and solar panel angular positions.
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